LCM of 331, 390, 975, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 390, 975, 978 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 331, 390, 975, 978. So, keep reading to learn more.
Given numbers are 331,390,975,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,390,975,978 is 105208350.
Find LCM of 331,390,975,978 with Prime Factorization
| 2 | 331, 390, 975, 978 |
| 3 | 331, 195, 975, 489 |
| 5 | 331, 65, 325, 163 |
| 13 | 331, 13, 65, 163 |
| 331, 1, 5, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 331 x 1 x 5 x 163 = 105208350
Therefore, the lowest common multiple of 331,390,975,978 is 105208350.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
331 x 390 x 975 x 978 = 123093769500
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
331 : 1, 331
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,390,975,978, is 1.
Now, the common factors can be found like this.
331:331
390:2x 3x 5x 13
975:3x 5x 5x 13
978:2x 3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 123093769500/(1x1170)
LCM = 123093769500/1170
LCM = 105208350
Thus, we can understand that the LCM of 331,390,975,978 is 105208350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 331, 390, 975, 978
1. What is the LCM of 331, 390, 975, 978?
Answer: LCM of 331, 390, 975, 978 is 105208350.
2. How to calculate the LCM of 331, 390, 975, 978?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 331, 390, 975, 978.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.